What is the Least Common Multiple of 51605 and 51622?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least Common Multiple of 51605 and 51622 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 51605 and 51622, than apply into the LCM equation.

GCF(51605,51622) = 1
LCM(51605,51622) = ( 51605 × 51622) / 1
LCM(51605,51622) = 2663953310 / 1
LCM(51605,51622) = 2663953310

Least Common Multiple (LCM) of 51605 and 51622 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 51605 and 51622. First we will calculate the prime factors of 51605 and 51622.

Prime Factorization of 51605

Prime Factorization of 51622

Now multiplying the highest exponent prime factors to calculate the LCM of 51605 and 51622.

LCM(51605,51622) = 5¹ × 10321¹ × 2¹ × 53¹ × 487¹
LCM(51605,51622) = 2663953310